Newly-promoted pair Paderborn and Cologne extended their unbeaten starts to the campaign with a goalless draw on Saturday.
Paderborn picked up their first-ever Bundesliga win in style by winning 3-0 at Hamburg.
Paderborn were denied a dream start to life in the Bundesliga as Koo Ja-cheol netted a penalty to salvage a 2-2 for Mainz.
Everton ended their pre-season without a victory after they suffered another defeat, this time 3-1 at Paderborn.
Bundesliga champions Bayern Munich will launch the defence of their title against Wolfsburg in the 2014/15 season.
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